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133286748 = 223719233631
BaseRepresentation
bin1111111000111…
…00101101011100
3100021210200001020
413330130231130
5233110133443
621120444140
73205630050
oct774345534
9307720036
10133286748
1169267341
1238779650
13217c97ca
14139b7c60
15ba7c583
hex7f1cb5c

133286748 has 96 divisors (see below), whose sum is σ = 390512640. Its totient is φ = 34499520.

The previous prime is 133286731. The next prime is 133286759. The reversal of 133286748 is 847682331.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34893 + ... + 38523.

It is an arithmetic number, because the mean of its divisors is an integer number (4067840).

Almost surely, 2133286748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133286748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195256320).

133286748 is an abundant number, since it is smaller than the sum of its proper divisors (257225892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133286748 is a wasteful number, since it uses less digits than its factorization.

133286748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3685 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 133286748 is about 11544.9880034585. The cubic root of 133286748 is about 510.8134500311.

The spelling of 133286748 in words is "one hundred thirty-three million, two hundred eighty-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 23 28 38 42 46 57 69 76 84 92 114 133 138 161 228 266 276 322 399 437 483 532 644 798 874 966 1311 1596 1748 1932 2622 3059 3631 5244 6118 7262 9177 10893 12236 14524 18354 21786 25417 36708 43572 50834 68989 76251 83513 101668 137978 152502 167026 206967 250539 275956 305004 334052 413934 482923 501078 584591 827868 965846 1002156 1169182 1448769 1586747 1753773 1931692 2338364 2897538 3173494 3507546 4760241 5795076 6346988 7015092 9520482 11107229 19040964 22214458 33321687 44428916 66643374 133286748